 | Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...which gives the relation between the sides of an obtuse angled triangle. 8. If a straight line touch a circle, and from the point of contact a straight...line touching the circle shall be equal to the angles in the alternate segments of the circle. If two circles touch each other, and parallel diameters be... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' If a straight line touch a circle, and from the point of contact a straight...cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles are proportionals; and those which... | |
 | John Playfair - Geometry - 1855 - 350 pages
...angles are equal, they are right angles. PROP. XXXII. THEOR. If a straight line touch a circle, and fam the point of contact a straight line be drawn cutting the circle, the angles made by this line with the lint which touches the circle, shall be equal to the angles -in the alternate... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...perpendicular to DE. Wherefore, if a straight line &c. QED -. PROPOSITION 19. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight... | |
 | Edinburgh univ - 1868 - 336 pages
...5. The angles in the same segment of a circle are equal to one another. 6. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle shall be equal to the angles in the alternate... | |
 | Robert Potts - 1868 - 434 pages
...are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. If a, straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle ; the angles which this line makes with the line touching the circle shall be equal... | |
 | Edinburgh univ - 1871 - 392 pages
...two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the tangent are equal to the angles in the alternate segments of the circle.... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...at the points where they meet the circumference. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle must be in that line. Let the st. line... | |
 | Euclides - 1872 - 102 pages
...lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draicn at right angles to the touching line, the centre of the circle must be in that line. Let the... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...perpendicular to DE, but FC ; therefore FC is perpendicular to DE. XIX. — If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let DE touch... | |
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If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. 
